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Finding the Fourth Proportional to 1,407.57, 1,941.26 and 1,029.93

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Solution

The fourth proportional to 1,407.57, 1,941.26 and 1,029.93 is: 1,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.57 : 1,941.26 = 1,029.93 : x
  2. Step 2: Convert to fraction form
    1,407.57/1,941.26 = 1,029.93/x
  3. Step 3: Cross multiply
    1,407.57x = 1,941.26 × 1,029.93
  4. Step 4: Simplify right side
    1,407.57x = 1,999,361.91
  5. Step 5: Solve for x
    x = 1,999,361.91/1,407.57
  6. Step 6: Final answer
    x = 1,420.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.